Riemann-Hilbert Problem Associated with Angelesco Systems Articles

Overview

authors

BRANQUINHO, A.
FIDALGO PRIETO, ULISES
FOULQUIE MORENO, ANA PILAR

published in

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Journal

publication date

January 2009

start page

643

end page

651

issue

3

volume

233

Digital Object Identifier (DOI)

https://doi.org/10.1016/j.cam.2009.02.032

International Standard Serial Number (ISSN)

0377-0427

Electronic International Standard Serial Number (EISSN)

1879-1778

abstract

Angelesco systems of measures with Jacobi-type weights are considered. For such systems, strong asymptotics for the related multiple orthogonal polynomials are found as well as the Szegö-type functions. In the procedure, an approach from the Riemann&-Hilbert problem plays a fundamental role.